limx→1 3 (x-1) tan(x³²-x) (x+1) sin²(2x − 2) -

Q: 18. Show that Σkind(k)³ = (Σk|n d(k))² for all positive integer n.

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Q: Q2) Which of the following series is converge or diverge 00 Σ{1} ,0.7777777777777 n=1 . Σ n=1 ΕΙΝ 27

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Q: Q1): The concentration of salt is given as a function of time by: -= 37.5-3.5x at the initial time…

A: solving differential equation using euler method for condition a as mentioned

Q: Use variation of parameters to solve the given system sin 2t x² = (2-1)x - (₂002)¹ X' (4 + Je4t cos…

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Q: Sketch the graph of f with emphasis on concavity. Label asymptotes with their equations and…

A: To sketch the graph of the function with the given detail.   −∞,−1 -1 −1,1 1 1,2 2 2,3 3 3,∞ f'…

Q: 1. State the amplitude, period, and phase shift for y=2 sin(0+20°). Then graph the function.

A: Given function is y=2sinθ+20°. We have to find the amplitude, period and phase shift of the given…

Q: Given: - -2, if x 3 √x²-9, 1. Determine if f is continuous or discontinuous at r = 2 and r = 3. If…

A: Given function is fx=e3x-6-2,if x≤22x-5,if 2<x≤3x2-9,if x>3 Given function is discontinuous at…

Q: Integrate the following functions f(x₁y) = (x-1) R: y=x over the given regions y=x²

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Q: VIII. Suppose that f(x) is continuous everywhere and the graph of f'(x) is shown below. Do not…

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Q: I Find all Max., Min., saddle point for the functions below: f(x,y) = x²y³ - 2xy +6

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Q: Integrate the following functions over f(x,y) = (x-1) R the given regi and y=x²

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Q: Suppose A is a 1 x 7 matrix and is a 7 x 1 matrix. Select all that apply A+Bexists and is al x 7…

A: Given that A is a 1×7 matrix and B is a 7×1 matrix. Here, we will check which of the given options…

Q: Determine the eigenvalues and eigenvectors of the following matrix: 10 -6 12 -8 Enter the…

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Q: Use forward-difference formula to evaluate the first derivative of y = tan(x) at x = 4 using a value…

A: Given function is y=tanx. We have to find the first derivative of y=tanx at x=π4 using a value of…

Q: fe²x+Inx² sin x² dx = +²√e²x cos x² dx

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Q: 5. Use the binomial expansion and Cauchy's Integral Theorem to evaluate ( с 2n dz Z + -/-/-) where C…

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Q: Find the volume of the solid that results when the region enclosed by the given curves is revolved…

A: Given the region enclosed by the curves x=cosecy, y=17π4, y=19π4, x=0 is revolved about the y-axis.

Q: Write the following English sentences in symbolic form- 1. If I will go to Australia, then I will…

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Q: 15 9 40 17 8 6 3 28 2 12 23 13 ? 28 4

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Q: a. [=³² (n =)²] 15. lim z→0+

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Q: 10. 1²+2²+...+ n² = n(n+1)(2n + 1) 6 integer n ≥ 1. s 12 for every

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Q: 2. Use Squeeze Theorem to evaluate lim sin(sinh x) csch z. 8118

A: 2) use squeeze theorem to evaluate limx→-∞sinsinhx cschx it is known that  -1≤sinsinhx≤1 implies,…

Q: For the equation, 9x² +8√3xy+y²-8=0, complete the following questions. a. Rewrite the equation in a…

A: The general form of a conic equation is Ax2+Bxy+Cy2+Dx+Ey+F=0.  The value of B2-4AC>0 decides the…

Q: n you pls help m

A: Given, the stacked line chart shows the numbers of college degrees awarded to men and women over…

Q: 2. Show that the series is conditionally convergent ∞ n=2 cos(nx) √n ln n

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Q: I. Evaluate the following limits. Using L'Hôpital's Rule is not allowed. 3. lim (x-3) tan(9-x²)…

A: We want to calculate the limit limx→3(x-3)tan(9-x2)sin2(2x-6) To solve this we use the following…

Q: 14. Let (a, b) = 1 and 2 = y for some integers x and y. Then prove that there exists an integer n…

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Q: Determine the dimension of and a basis for the solution space of the homogeneous linear system. 3x₁…

A: The solution is given as

Q: Use the second Taylor polynomial P₂(x) for f(x) = x² + ln(1 + x) about x = 0 and evaluate f f(x)dx.…

A: Given function is fx=x2+ln1+x. By using the second Taylor polynomial P2x for the given function fx…

Q: Suppose that a function f(x) satisfies the following properties, together with the table of signs…

A: # vertical asymptotes are vertical lines ( parallel to y-axis ) which touches the curve at infinity…

Q: Suppose that you are an engineer designing an arch bridge spanning the entrance to a marina. Small…

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Q: How much work is required to pump all the water from a right circular cylindrical tank, that is 8…

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Q: Consider the linear transformation T: RR whose matrix A relative to the standard basis is given. 3…

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Q: Find the value of F(s) given that; sin 3t, o<t<tπ f(t) = { sin 3t, t<πT Let L[sinzt u(t)-sin3(t…

A: Use the definition to find the Laplace transform of the function sin3t ut-sin3t-πut-π.

Q: ² - x ²² = y² dz ४x d²z Find the solution of xy' буду

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Q: Three years ago, Pete took out a loan of $55,000.  The loan was taken out for 10 years with an…

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Q: eeded to be solve correctly in

A: Given, the helix                r(t)=cosπt2, sinπt2, t intersects the sphere x2+y2+z2=2 in two…

Q: I L is a line in 2-space or 3-space that passes through the points A an 3, then the distance from a…

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Q: 6 Find all Max., Min., saddle point for the functions below: 3 f(x,y) = x ²³ + 3xy ² - 15 x +…

A: Given: f(x,y) = x3+3xy2-15x+y3-15y

Q: Q3): A robot arm with a rapid laser scanner is doing a quick quality check on holes drilled in a…

A: We need to do using one method. We do using Lagrange Method. We have: xin. yin. x0=2 y0=7.2…

Q: Example 10.26. Using Picard's method, find approximate values of y and z corre- sponding to x = 0.1,…

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Q: D²-2D+1)y = e^x logx

A: Given differential equation is D2−2D+1y=exlogx. We have to find the general solution of the given…

Q: 6 1 3 The matrix I = 09 4 3 2-8-1 -2 3 2 10 The Augmented matrix is as follows: -13 2 6 1 0 9 4 3 4…

A: Since you have asked multiple questions, we can solve first question for you. If you want other…

Q: Let S₁ be the surface generated by z -4 = -y revolved about the z-axis. Let S₂: x² + y² = 4. Draw…

A: Given: Let us consider the S1 surface created by z-4=-y about the z-axis. The S2 surface by x2+y2=4.…

Q: 6. If V(x, y) = xsin x cos y + y² then, F-VV and it is equal to A. -ily sinx cos y sinx cos y]…

A: We can solve using divergence formula

Q: (x,y) = (x-1) R: y=x y=x²

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Q: Evaluat the integral. i's ex dedy ३५

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Q: 5. (a) Evaluate the polynomial y=2²-82² +12z-0.45 at z 2.378. Use 4-digit arithmetic with chopping.…

A: Given,y=x3-8x2+12x-0.45 and y=x-8x+12x-0.45To find: Value of given polynomials with chopping and…

Q: How. Find the volumes for the following solids whose heights are defined by ECx,y) and bases are the…

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Q: Q1): The concentration of salt is given as a function of time by: dx -37.5-3.5x dt at the initial…

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